Geodesic
Godunov type method and the Shafranov's task for multi-temperature plasma
Matematičeskoe modelirovanie, Tome 30 (2018) no. 9, pp. 51-71

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New multi-temperature code for the multi-component gas-dynamic was tested. The velocities of all components with nonzero masses are assumed to be identical. Method operates with the table equation of state. Method can include in the consideration the electron heat conduction, the radiation transfer, the exchange the energy between the components, and the chemical reactions. The gas-dynamic part is based on the Godunov approach with the effective approximate Riemann problem solver and the model of the local equation of state. The goal of the investigation is the test of the development of the code and the "exact" solution of the Shafranov task for the shock wave in the hydrogen plasma.
Keywords: multi-temperature plasma, equation of state, Godunov type scheme. 
@article{MM_2018_30_9_a3,
     author = {A. G. Aksenov and V. F. Tishkin and V. M. Chechetkin},
     title = {Godunov type method and the {Shafranov's} task for multi-temperature plasma},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {51--71},
     publisher = {mathdoc},
     volume = {30},
     number = {9},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_9_a3/}
}
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A. G. Aksenov; V. F. Tishkin; V. M. Chechetkin. Godunov type method and the Shafranov's task for multi-temperature plasma. Matematičeskoe modelirovanie, Tome 30 (2018) no. 9, pp. 51-71. http://geodesic.mathdoc.fr/item/MM_2018_30_9_a3/